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  • Letter
  • Open Access

Quantum partonic transport in QCD matter

João Barata1,*, Andrey V. Sadofyev2,3,†, and Xin-Nian Wang4,‡

  • 1Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
  • 2Instituto Galego de Física de Altas Enerxías, Universidade de Santiago de Compostela, Santiago de Compostela 15782, Spain
  • 3NRC “Kurchatov Institute”, Moscow 123098, Russia
  • 4Nuclear Science Division, MS 70R0319, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

  • *jlourenco@bnl.gov
  • †andrey.sadofyev@usc.es
  • ‡xnwang@lbl.gov
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Phys. Rev. D 107, L051503 – Published 17 March, 2023

DOI: https://doi.org/10.1103/PhysRevD.107.L051503

Abstract

We study gradient corrections to the transport equation for energetic light partons in dense QCD environments. In the diffusion limit, the transport dynamics is solely controlled by small-angle elastic scatterings, leading to transverse momentum broadening with respect to the parton’s initial direction. Such a parton propagation is usually considered in the limit of transversely homogeneous matter. The transport processes admit a classical description and the transverse spatial dependence of the medium properties emerges only through the jet quenching parameter. In this work, we show that a gradient expansion of the all-order evolution equation for the partonic Wigner function leads to an evolution equation in the Boltzmann-diffusion form only up to the leading order in transverse gradients. At the second order in gradients, the quantum corrections associated with nonlocal interactions give rise to a novel transport that can be implemented in Monte Carlo simulations. In addition, using our results, we compute the gradient corrections to the jet quenching parameter in inhomogeneous matter.

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Phys. Rev. D 107, L051503– Published 17 March, 2023
  • Received 28 October 2022
  • Accepted 16 February 2023
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